This one may be my worst MS Paint drawing ever. I LOVE IT.
Anyways, you'll have to completely cut the red/white line leading to the door switch and send it through the solenoid side of the relay. Then, on the naturally closed side of the relay, run a tap into the red/blue of the parking light circuit. What this will do is allow the relay to power the key ring light when you turn your parking lights on. Then, if you open up the driver's door, it will be power the relay's solenoid, switching it to the naturally open circuit. I recommend just using the door light circuit to power the NO circuit since it'll need a 12v from somewhere, and it's just easier to tap into the same wire leading to the solenoid.
Nissan 5 pin relays are black. Nissan likes to use them for naturally closed relays instead of 4 pin relays. Conversely, you can go get a bosch relay from Advance or Auto Zone as well. Those tend to not come with bases though.
This will keep the door circuit from backfeeding into the parking light circuit, and turning your parking lights on when you open the door.